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4002261360 = 243570123789
BaseRepresentation
bin1110111010001101…
…1010100101110000
3101022220221221110020
43232203122211300
531144034330420
61501050203440
7201115442316
oct35643324560
911286857406
104002261360
111774199219
12938423580
134ba233ab6
1429d7820b6
15186570340
hexee8da970

4002261360 has 80 divisors (see below), whose sum is σ = 12425231520. Its totient is φ = 1065702400.

The previous prime is 4002261337. The next prime is 4002261437. The reversal of 4002261360 is 631622004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4002261360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156346 + ... + 180134.

It is an arithmetic number, because the mean of its divisors is an integer number (155315394).

Almost surely, 24002261360 is an apocalyptic number.

4002261360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002261360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6212615760).

4002261360 is an abundant number, since it is smaller than the sum of its proper divisors (8422970160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4002261360 is a wasteful number, since it uses less digits than its factorization.

4002261360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24506 (or 24500 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4002261360 is about 63263.4282978721. The cubic root of 4002261360 is about 1587.7001360508.

Adding to 4002261360 its reverse (631622004), we get a palindrome (4633883364).

The spelling of 4002261360 in words is "four billion, two million, two hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 701 1402 2103 2804 3505 4206 5608 7010 8412 10515 11216 14020 16824 21030 23789 28040 33648 42060 47578 56080 71367 84120 95156 118945 142734 168240 190312 237890 285468 356835 380624 475780 570936 713670 951560 1141872 1427340 1903120 2854680 5709360 16676089 33352178 50028267 66704356 83380445 100056534 133408712 166760890 200113068 250141335 266817424 333521780 400226136 500282670 667043560 800452272 1000565340 1334087120 2001130680 4002261360